Cellulon, a manufacturer of home insulation, wants to develop guidelines for bui

Question

Cellulon, a manufacturer of home insulation, wants to develop guidelines for builders and consumers on how the thickness of the insulation in the attic of a home and the outdoor temperature affect natural gas consumption. In the laboratory, it varied the insulation thickness and temperature. A few of the findings are: On the basis of the sample results, the regression equation is: Y = 61.2 - 0.19X_1 - 0.75X_2 a. How much natural gas can homeowners expect to use per month if they install 5 inches of insulation and the outdoor temperature is 40 degrees F? (Round your answer to 2 decimal places.) cubic feet b. What effect would installing 9 inches of insulation instead of 5 have on the monthly natural gas consumption (assuming the outdoor temperature remains at 40 degrees F)? (Round your answers to 2 decimal places.) A of cubic feet monthly natural gas consumption, down to cubic feet. c. Why are the regression coefficients b_1 and b_2 negative? Is this logical?, logically, as the amount of insulation and outdoor temperature, the consumption of natural gas.

Explanation / Answer

1. Substituting the values of x1=5 and x2=40 in the equation provided , we get 61.2 - 0.19*5 - 0.75*40 = 30.25
2. Again, 61 2-0.19*9-0.75*40=29.49
Thus a decrease of 30.25-29.49=0.76 down to 29.49

3. Yes , as the amount of insulation increases and outdoor temperature increases , the consumption of natural gas decreases

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